6(3x-2)-2(2x-5)=26

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Solution for 6(3x-2)-2(2x-5)=26 equation:


Simplifying
6(3x + -2) + -2(2x + -5) = 26

Reorder the terms:
6(-2 + 3x) + -2(2x + -5) = 26
(-2 * 6 + 3x * 6) + -2(2x + -5) = 26
(-12 + 18x) + -2(2x + -5) = 26

Reorder the terms:
-12 + 18x + -2(-5 + 2x) = 26
-12 + 18x + (-5 * -2 + 2x * -2) = 26
-12 + 18x + (10 + -4x) = 26

Reorder the terms:
-12 + 10 + 18x + -4x = 26

Combine like terms: -12 + 10 = -2
-2 + 18x + -4x = 26

Combine like terms: 18x + -4x = 14x
-2 + 14x = 26

Solving
-2 + 14x = 26

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '2' to each side of the equation.
-2 + 2 + 14x = 26 + 2

Combine like terms: -2 + 2 = 0
0 + 14x = 26 + 2
14x = 26 + 2

Combine like terms: 26 + 2 = 28
14x = 28

Divide each side by '14'.
x = 2

Simplifying
x = 2

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